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1001111103300 = 2235271143338143
BaseRepresentation
bin11101001000101101101…
…11110010011101000100
310112201001011011022200010
432210112313302131010
5112400233420301200
62043523141150220
7132220315655160
oct16442667623504
93481034138603
101001111103300
11356629134290
121420320bb370
1373534536309
143664dc35ca0
151b094092150
hexe916df2744

1001111103300 has 144 divisors (see below), whose sum is σ = 3611280863232. Its totient is φ = 208023081600.

The previous prime is 1001111103287. The next prime is 1001111103301. The reversal of 1001111103300 is 33011111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001111103301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21645972 + ... + 21692171.

It is an arithmetic number, because the mean of its divisors is an integer number (25078339328).

Almost surely, 21001111103300 is an apocalyptic number.

1001111103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001111103300 is an abundant number, since it is smaller than the sum of its proper divisors (2610169759932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001111103300 is a wasteful number, since it uses less digits than its factorization.

1001111103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43338178 (or 43338171 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1001111103300 its reverse (33011111001), we get a palindrome (1034122214301).

The spelling of 1001111103300 in words is "one trillion, one billion, one hundred eleven million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 43338143 86676286 130014429 173352572 216690715 260028858 303367001 433381430 476719573 520057716 606734002 650072145 866762860 910101003 953439146 1083453575 1213468004 1300144290 1430158719 1516835005 1820202006 1906878292 2166907150 2383597865 2600288580 2860317438 3033670010 3250360725 3337037011 3640404012 4333814300 4550505015 4767195730 5720634876 6067340020 6500721450 6674074022 7150793595 7584175025 9101010030 9534391460 10011111033 11917989325 13001442900 13348148044 14301587190 15168350050 16685185055 18202020060 20022222066 22752525075 23835978650 28603174380 30336700100 33370370110 35753967975 40044444132 45505050150 47671957300 50055555165 66740740220 71507935950 83425925275 91010100300 100111110330 143015871900 166851850550 200222220660 250277775825 333703701100 500555551650 1001111103300